I. Determine whether the following situations/problems illustrate permutation or combination.

1. Jose secured his bike using a combination lock.

2. Aling Rosa arranged her 6 plotted plants in a row.

3. Selecting 7 people to form a Supreme Students Government.

4. Assigning seats to guests at dinner

5. Selecting 4 posters to hang out of 8 different posters

6. Winning in a contest

7. Assembling a jigsaw puzzle

8. Choosing three of your classmates to attend your party

9. Determining the top three winners in a Science Quiz Bee

10. Five people posing for pictures

II. Solve the following problems on permutation and combination.

1. In the mathematics talent contest, ten students were entered. The top 3 contestants will each win a scholarship, and everyone else will get an honorable mention. In now many different ways can 3 winners be chosen?

2. In a 10-item Mathematics problem-solving test, how many ways can you select problems to solve?

3. Suppose you are the owner of a sari-sari store and you want to put 10 pieces of canned goods in a row on the shelf. If there are 3 identical cans of meat loaf, 2 identical cans of 555 tuna caldereta, 3 identical cans of sardines, and 2 identical cans of corned beef, in how many different ways can you display these goods?

4. Juana, Maria, Susan, Anna and Petra want to take a group picture. In how many ways can they arrange themselves in a row for picture taking?

5. Grade 10-Jade students went to watch a play at school auditorium. Seating 8 students in 8 seats in the front row of school auditorium.

III. Direction: Formulate your own example of permutation and combination problems/situations/scenarios and solve. Make at least 2 permutations and 2 combinations.

IV. MULTIPLE CHOICE TEST. Read and select the letter of the correct answer.

1. Which of the following refers to the arrangement of objects/things in a definite order or the ordered arrangement of distinguishable objects without allowing repetitions among objects?

A. pemutation B. combination C. factorial D. combinatorics

2. Which of the following refers to the selection made from a group of items without regard to their order?

A. pemutation B.. combination C. factorial D. combinatorics

3. Which of the following is a characteristic of combination?

A. Order is relevant.

B. It denotes selection.

C. It is an ordered set.

D. All of the above

4. Consider the problem: 'How many 3-letter arrangements can be made from the word EXAMINATION?'. What combinatorics method can be best used?

A. distinguishable permutation

B. non-distinguishable permutation

C. circular permutation

D. combination

5. What is the value of C(5, 3)?

A. 1 B. 5 C. 10 D. 60

6. Which of the following is equal to the value of C(4, 1)?

A. C(4, 0) B. C(4, 2) C. C(4,3) D. C(4,4)

7. Which of the following mathematical statements is CORRECT?

A. C(3, 2) = 2 B. C(6, 6) = 720 C. C(4,2)=6 D. C(4,0)=4

8. Which of the following instances DOES NOT illustrate a combination?

A. grouping 4 performance task

B. drawing 3 marbles in a box

C. assigning password for you phone

D. selecting students to form a committee

9. There are 20 people who work in an office together. Four of these people are selected to go to the same conference together. How many of such selections are possible?

A. 360 B. 720 C. 1,270 D. 4,845

10. In how many ways can a basketball team of 9 members can be chosen from 12 players?

A. 220 B. 105 C. 36 D. 20

V. SELECTION. Read the instances or scenarios given below. Write P if the given item illustrates a permutation but write C if it does illustrate a combination.

1. Arranging ten students in a line

2. Determining the top three winners in a Math Quiz Bee

3. Five students posing for pictures

4. Choosing three of your classmates to attenda meeting

5. Picking 4 marbles from a bowl of 10 marbles

6. Forming a group of 6 members from 15 people

7. Selecting 3 dramas to watch before going to sleep.

8. Determining the first, second, and third winners of a bicycle

9. Seating around a circular table

10. Arranging the letters of the word MANGO